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Finding the Fourth Proportional to 114,310.32, 157,746.54 and 63,322.90

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Solution

The fourth proportional to 114,310.32, 157,746.54 and 63,322.90 is: 87,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,310.32 : 157,746.54 = 63,322.90 : x
  2. Step 2: Convert to fraction form
    114,310.32/157,746.54 = 63,322.90/x
  3. Step 3: Cross multiply
    114,310.32x = 157,746.54 × 63,322.90
  4. Step 4: Simplify right side
    114,310.32x = 9,988,968,377.77
  5. Step 5: Solve for x
    x = 9,988,968,377.77/114,310.32
  6. Step 6: Final answer
    x = 87,384.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.